In diagram, point m is a point of tangency, nm = 336, and np = 294. what is the radius of point k?

As M is a point of tangency, KN and MN are perpendicular.
Therefore : KN² = KM² + MN²
(radius + NP)² = radius² + 336²
(radius + 294)² = radius² + 336²
radius² + 2*294*radius + 294² = radius² + 336²
588radius = 336² - 294²
radius = 26460/588
radius = 45

Hope that clear and helpful

The first answer is correct